CHAPTER XXVI.

MATHEMATICS---PURE.

ARITHMETIC AND GEOMETRY.

Abel, Niels Henrik. Euvres complètes; avec des notes et développements. Rédigées par B. Holmboe. 2 v. in 1, 4to. Christiania, 1839. Adams, George. Geometrical and Graphical Essays. 3d edition, corrected and enlarged, by W. Jones; with plates. 2 v. 8vo. London, 1803.

The same. With problems. 4th edition, corrected and enlarged, by W. Jones; with plates. 2 v. 8vo. London, 1813.

Adhémar, Joseph Alphonse. Traité de Géométrie, de l'espace et plane, avec planches. 3 v. in 2, 8vo. Paris, 1843, 1844.

Traité de Géométrie Descriptive. 3e édition, revue et corrigée. 8vo; atlas, folio. Paris, 1846.

Supplément au Traite de Géométrie Descriptive, contenant exercises, révolutions de la mer, et perspective des objets éloignés. 4 v. in 1, 8vo; atlas, folio. Paris, 1846-1852.

Traité de Perspective. 2e édition, corrigée et augmentée. 8vo; atlas, folio. Paris, 1846.

Traité des Ombres. 2e édition, revue et augmentée. 8vo; atlas, folio. Paris, 1852.

Agnew, H. C. Letter from Alexandria, on the evidence of the practical application of the Quadrature of the Circle, in the configuration of the great Pyramids of Gizeh. 4to. London, 1838.

Ainslie, John. Treatise on Land Surveying. New and enlarged edition, embracing railway, military, marine, and geodetical surveying, by William Galbraith. 8vo; with plates, 4to. Edinburgh, 1849. Alsop, Samuel. First Lessons in Algebra. New edition, with a key. 2 v. 12mo. Philadelphia, 1853.

Key to a Treatise of Algebra. 12mo. Philadelphia, 1855.1

Treatise on surveying; in which the theory and practice are fully explained. With a key. 2 v. 8vo. Philadelphia, 1857. Apollonius Pergaus. Inclinationum libri II. Græcè et Latinè. Restituebat Samuel Horsley. 4to. Oxonii, 1770.

Archimedes. Opera, quæ quidem extant, omnia, nuncque primùm et Græcè et Latinè in lucem edita. Adiecta quoque sunt Eutocii Ascalonite in eosdem Archimedis libros commentaria, item Græcè et Latinè, nunquam antea excusa. 2 v. in 1, folio. Basileæ, 1544.

Quæ Supersunt Omnia. Cum Eutocii Ascalonitæ commentariis. Ex recensione J. Torelli, cum nova versio Latina. Accedunt lectiones variantes ex codd. Mediceo et Parisiensibus. Folio. Oxonii, 1792.

Archimedes. Arenarius; et Dimensio Circuli. Eutocii Ascalonitæ in hanc commentarius. Cum versione et notis Joh. Wallis. 8vo. Oxonii,

1676.

Arenarius. Translated from the Greek; with the dissertation of Christopher Clavius on the same subject; translated from the Latin; by G. Anderson. 8vo. London, 1784.

Euvres. Traduites littéralement, avec un commentaire, par F. Peyrard. Suivies d'un mémoire du traducteur, sur un nouveau miroir ardent; et d'un autre mémoire de M. Delambre, sur l'arithmétique des Grecs. Edition publiée en 1807. 4to. Paris, 1844.

Arithmetic and Algebra. With a Key to the Senate-House Examination Papers. 2 v. in 1, 8vo. Cambridge, 1835, 1836.

Aylmer, George James. Key to Bridge's Algebra. 2d edition. 8vo. London, 1824.

Babbage, Charles. Table of the Logarithms of the Natural Numbers, from 1 to 108000. 2d edition. Royal 8vo. London, 1831.

Bardel, M. Eléments d'Arithmétique, démontrés d'une manière nouvelle. 8vo. Paris, 1827.

Barlow, Peter. New Mathematical and Philosophical Dictionary. Royal 8vo. London, 1814.

Bayley, John. Treatise on the Elements of Algebra. 8vo. London, 1830. Beans, E. W. Manual for Practical Surveyors, containing methods indispensably necessary for actual field operations. 12mo. Philadelphia, 1854.1 Beautemps-Beaupré, C. F. Introduction to the Practice of Nautical Surveying, and the construction of sea-charts. Translated from the French, by R. Copeland; with an appendix of Dalrymple's Essay on Marine Surveying. 4to. London, 1823.

Belanger, Jean Baptiste. Résumé de Leçons de Géométrie Analytique et de Calcul Infinitésimal. 8vo. Paris, 1842.

Benedict, Joel T. Elements of Algebra. Part 1, 12mo. New-York, 1857.1

Bennett, John. Arcanum; comprising a concise theory of Geometry. 8vo. London, 1838.

Original Geometrical Illustrations; or, the book of lines, squares, circles, triangles, polygons, &c. 4to. London, 1837.

Benoit, Philippe Martial Narcisse. Cours Complet de Topographie et de Géodésie. 2 v. 8vo. Paris, 1822-1825.

Berard, Joseph Balthasar. Méthodes Nouvelles pour Déterminer les Racines des Equations Numériques et les Intégrales Définies, simples ou doubles. 4to. Nismes, 1818.

Bergery, Claude Lucien. Géométrie appliquée à l'Industrie, à l'usage des artistes et des ouvriers. 2e édition, corrigée et augmentée. 8vo. Metz, 1828.

Bernoulli, Jacques. Opera Omnia. 4 v. 4to. Lausannæ et Genevæ,

1742.

Opera. 2 v. 4to. Genevæ, 1744.

Bevan, B. Practical Treatise on the Sliding Rule. 8vo. London, 1822. Bezout, Etienne. Cours de Mathématiques à l'usage du Corps de l'Artillerie. Nouvelle édition, révue et augmentée, par C. Guillard. 4 v. 8vo. Paris, 1799, 1800.

Cours de Mathématiques à l'usage des Gardes du Pavillon et de la Marine. Nouvelle édition, revue et corrigée. 6 v. 8vo. Paris, 1798, 1799.

Bezout, Etienne. Cours de Mathématiques, à l'usage de la Marine et de l'Artillerie.-Géométrie; la Trigonométrie Rectiligne et la Trigonométrie Sphérique. Notes sur la géométrie: élémens de géométrie descriptive, et problèmes, par A. A. L. Reynaud. 10e édition. 2 v. in 1, 8vo. Paris, 1843.

Traité d'Arithmétique à l'usage de la Marine et de l'Artillerie. Avec des notes et des tables de Logarithmes, par A. A. L. Reynaud. 11e édition. 8vo. Paris, 1823.

Biot, Jean Baptiste. Essai de Géométrie analytique, appliquée aux Courbes et aux Surfaces du Second Ordre. 8e édition. 8vo. Paris, 1834. Blanchard, Orlando. Theoretical and Practical Arithmetic. 12mo. Cazenovia, N. Y., 1853.

Blanchet, P. H. Compléments de Mathématiques Spéciales. Méthodes pour la Discussion des Courbes Algébriques de Degrés Supérieurs données par des Equations Résolues. 8vo. Paris, 1838.

Bland, Miles. Algebraical Problems, producing simple and quadratic equations, with their solutions. 7th edition. 8vo. Cambridge, 1837. Geometrical Problems deducible from the First Six Books of Euclid, arranged and solved. To which is added, an appendix containing the Elements of Plane Trigonometry. 3d edition. Svo. Cambridge, 1827.

Problems in the different branches of Philosophy, adapted to the course of reading pursued in the University of Cambridge. 8vo. London, 1830.

Boillot, L. A. Cours complet d'Arithmétique. 3e édition. 8vo. Paris,

1840.

Bonnycastle, John. Elements of Geometry; containing the principal propositions in first six, and the eleventh and twelfth books of Euclid. 6th edition. 8vo. London, 1818.

1820.

Introduction to Arithmetic. 8vo. London, 1810.

Treatise on Algebra. 2d edition, improved. 2 v. 8vo. London,

Treatise on Plane and Spherical Trigonometry. 3d edition, corrected and improved. 8vo. London, 1818.

Booth, James. On the Application of a New Method to the Theory of Curves and Curved Surfaces. Royal 8vo. Dublin, 1840.

Borda, Charles. Tables Trigonométriques Décimales; ou table des logarithmes des sinus, sécantes, et tangentes. Précédées de la table des logarithmes des nombres depuis dix mille jusqu'à cent mille; et de plusieurs tables subsidiaires, revues, augmentées et publiées, par J. B. J. Delambre. 4to. Paris, an 9, (1801.)

Bossut, Charles. Cours de Mathématiques.-Géométrie, et application de l'algèbre à la géométrie. 8vo. Paris, 1794.

Histoire Générale des Mathématiques, depuis leur origine jusqu'à l'année 1808. 2 v. in 1, post 8vo. Paris, 1810.

Traité Elémentaire d'Arithmétique. 8vo. Paris, 1775.

Traités de Calcul Différentiel et de Calcul Intégral. 2 v. 8vo. Paris, 1798.

Bossut, Jean. General History of Mathematics, from the earliest times to the middle of the eighteenth century. Translated from the French. 8vo. London, 1803.

Boucharlat, Jean Louis. Théorie des Courbes et des Surfaces du Second Ordre; ou traité complet d'application de l'algèbre à la géométrie. 3e édition. 8vo. Paris, 1845.

8vo.

Boucharlat, Jean Louis. Elementary Treatise on the Differential and Integral Calculus. Translated from the French, by R. Blakelock. Cambridge, 1828. Bourdon, Louis Pierre Maric. Application de l'Algèbre à la Géométrie. 8vo. Paris, 1825.

Eléments d'Algèbre. 10e édition. 8vo. Paris, 1848.

Eléments d'Arithmétique. 28e édition. Svo. Paris, 1853. Arithmetic; containing a discussion of the theory of numbers. Translated from the French, and adapted to the use of the colleges and academies of the United States, by Charles S. Venable. 12mo. Philadelphia, 1858.

Bridge, Bewick. Compendious Treatise on the Elements of Plane Trigonometry; with the method of constructing trigonometrical tables. 3d edition. 8vo. London, 1822.

1831.

Treatise on the three Conic Sections. 3d edition. 8vo. London,

Treatise on the Elements of Algebra. 11th edition. 8vo. London, 1842.

Brooke, Charles. Synopsis of the Principal Formulæ and Results of Pure Mathematics. 8vo. Cambridge, 1829.

Brown, John. Mathematical Tables. 4th edition, improved and enlarged, by J. Wallace. 8vo. Edinburgh, 1826.

Buck, John. New, General, and Algebraical Solution of the Higher Orders of Equations, with solutions of equations, to the tenth degree inclusive. 8vo. London, 1823.

Budge, John. Practical Miner's Guide; comprising a set of trigonometrical tables, adapted to all purposes of oblique or diagonal, vertical, horizontal, and traverse dialling, with their application to the dial exercises of shafts, adits, drifts, lodes, slides, levelling, inaccessible distances, heights, &c. 3d edition, considerably enlarged. 8vo. London, 1854.

Byrne, Oliver. Calculator's constant Companion, for practical men, machinists, mechanics, and engineers. 12mo. Philadelphia, 1854.1

Doctrine of Proportion; or, the fifth book of Euclid, simplified. 8vo. London, 1841.

Method of Calculating the Logarithm of any Given Number, and the number corresponding to any given logarithm. 12mo. London,

1849.

Short practical Treatise on Spherical Trigonometry. 8vo. London, 1835.

Callet, François. Tables Portatives de Logarithmes. Edition stéréotype. 8vo. Paris, 1795. Tirage 1825.

Cambridge Mathematical Journal. 4 v. 8vo. Cambridge, 1841-1846. Cambridge Problems proposed at the general Examinations, from 1801 to 1820. 8vo. Cambridge, 1821.

Cape, Jonathan. Course of Mathematics.

don, 1850. (2 copies.)

4th edition. 2 v. 8vo. Lon

Mathematical Tables. 2d edition. 8vo. London, 1847. Castle, Henry James. Elementary Text-Book for young Surveyors and Levellers, with copious field notes, plans and diagrams. Post 8vo. London, 1846.

Chales, Claude François Milliet de. Cursus seu Mundus Mathematicus. Editio altera, ex мss. authoris aucta et emendata, opera et studio Amati Varcin. 4 v. folio. Lugduni, 1690.

Chasles, Michel. Two Geometrical Memoirs on the general properties of Cones of the Second Degree, and Spherical Conics. Translated from the French, with an appendix, by C. Graves. 8vo. Dublin, 1841. Christie, Samuel Hunter. Elementary Course of Mathematics. 2 v. 8vo. London, 1845, 1847.

Cochrane, Richard and John. Comprehensive System of Practical Geometry. 2d edition. 8vo. Baltimore, 1857. (2 copies.)

Cocker, Edward. Arithmetick. Published by J. Hawkins. 26th edition. 12mo. London, 1706.

Colburn, Dana P. Arithmetic and its Applications; designed as a text book for common schools, high schools, and academics. 12mo. Philadelphia, 1855.‡

The same.

12mo. Philadelphia, 1858.1

Decimal System of Numbers, illustrated and practically applied in a series of systematic and progressive exercises.

1852.

The same. 12mo. Boston, 1853.

12mo. Boston,

Interest, Discount, Equation of Payments; with numerous problems for solution. 12mo. Boston, 1853.

Cole, John. Stereogoniometry. Also, Lee-way and Magnetic Sailing. 8vo.

London, 1812.

Condillac, Etienne Bonnot de. Langue des Calculs. 8vo. Paris, 1798. Condorcet, Marquis de. Essai sur l'Application de l'Analyse à la Proba

bilité des Décisions rendues à la Pluralité des Voix. 4to. Paris, 1785. Cooley, William Desborough. Geometrical Propositions Demonstrated; or, a Supplement to Euclid; being a key to the exercises appended to Euclid's Elements. 16mo. London, 1840.

Coombe, John Adams. Solutions of the Cambridge Problems for 1840, and 1841. 8vo. Cambridge, 1841.

Cousinery, B. E. Géométrie Perspective; ou, principes de projection polaire, appliqués à la description des corps. 4to. Paris, 1828.

Le Calcul par le Trait; ses éléments et ses applications à la mesure des lignes, des surfaces et des cubes, à l'interpolation graphique et à la détermination sur l'épure de l'épaisseur des murs de soutènement et des murs de culée des voûtes. Avec un appendix; interpolation circulaire, ou reproduction des formes courbes par une suite d'arcs en cercles tangents. 2 v. in 1, 8vo. Paris, 1839, 1840.

Le Rapporteur de Précision, contenant les cordes successives de la demi-circonférence calculées dans les trois systèmes de graduation, sexagésimal, centésimal, et mixte. 16mo. Paris, 1843. Crocker, Abraham. Elements of Land Surveying. New edition, corrected throughout, by T. G. Bunt. 12mo. London, 1841.

Cronier, B. Traité Raisonné d'Arpentage. 8vo. Paris, 1821. Cruttenden, David H. Theoretical and Practical Systematic Arithmetic; or, arithmetic arranged in its natural order. 12mo. New-York, 1853. Cunha, José Anastacio da. Principes de Mathématiques. Traduit du Portugais, par J. M. D'Abreu. 8vo. Paris, 1816.

Dalby, Isaac. Course of Mathematics, designed for the use of the officers and cadets of the Royal Military College. 6th edition. 2 v. 8vo. London, 1837. Darley, George. Geometrical Companion, in which the elements of abstract geometry are familiarized and rendered practically useful to the various pursuits of life. 2d edition. 16mo. London, 1841.